| Title:
|
On the jets of foliation respecting maps (English) |
| Author:
|
Doupovec, Miroslav |
| Author:
|
Kolář, Ivan |
| Author:
|
Mikulski, Włodzimierz M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
4 |
| Year:
|
2010 |
| Pages:
|
951-960 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Using Weil algebra techniques, we determine all finite dimensional homomorphic images of germs of foliation respecting maps. (English) |
| Keyword:
|
foliation |
| Keyword:
|
leafwise $(k,r)$-jet |
| Keyword:
|
jet-like homomorphism |
| Keyword:
|
Weil bundle |
| MSC:
|
53C12 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 1224.58002 |
| idMR:
|
MR2738959 |
| . |
| Date available:
|
2010-11-20T13:54:14Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140796 |
| . |
| Reference:
|
[1] Doupovec, M., Kolář, I.: On the jets of fibered manifold morphisms.Cah. Topologie Géom. Différ. Catég. 40 (1999), 21-30. MR 1682575 |
| Reference:
|
[2] Kolář, I.: An abstract characterization of the jet spaces.Cah. Topologie Géom. Différ. Catég. 34 (1993), 121-125. MR 1223655 |
| Reference:
|
[3] Kolář, I.: Weil bundles as generalized jet spaces.In: Handbook of Global Analysis D. Krupka, D. Saunders Elsevier Amsterdam (2008), 625-664. MR 2389643 |
| Reference:
|
[4] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry.Springer Berlin (1993). MR 1202431 |
| Reference:
|
[5] Kolář, I., Mikulski, W. M.: Contact elements on fibered manifolds.Czechoslovak Math. J. 53 (2003), 1017-1030. MR 2018847, 10.1023/B:CMAJ.0000024538.28153.47 |
| Reference:
|
[6] Mikulski, W. M.: Product preserving bundle functors on fibered manifolds.Arch. Math. (Brno) 32 (1996), 307-316. Zbl 0881.58002, MR 1441401 |
| Reference:
|
[7] Moerdijk, I., Mrčun, J.: Introduction into Foliations and Lie Groupoids.Cambridge University Press Cambridge (2003). MR 2012261 |
| . |
